Hold down the home button and click the lock button to take a screenshot
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stuffe♦Mar 17 '12 at 22:48

You had two separate questions in here initially: what is the icon and what does it mean, and how can I get rid of these duplicates and sync my music. To avoid having multiple questions per post, I've edited out your second question. Please feel free to ask it separately. Please take a look at the FAQs for more info. Thanks.
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Nathan GreensteinApr 24 '12 at 23:42

1 Answer
1

Well, that symbol is the download progress indicator. It appears when you buy a song from the iTunes Store directly on your device. The progress is shown in a bar that goes around the circular track on the outside.

It means that it can be listened to via streaming (by clicking on it in the normal manner) if you have a suitable internet connection but has not yet been downloaded to the device.

I was going to suggest the download was too large for cellular download, but the phone shows wifi so I am stumped. Try entering the iTunes app and checking/cancelling downloads.
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stuffe♦Mar 23 '12 at 8:22

This figures. Eventually I got it to disappear by cancelling and restarting the download and just leaving it until it finally completed (after sitting in waiting for several hours).
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Jon HopkinsMar 24 '12 at 8:43